Spoob: Difference between revisions

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[[Tempering out]] this comma in the 11-limit defines the rank-4 '''spoob''' temperament, or in the 2.5.7.11 subgroup an unnamed rank-3 [[retraction]] thereof.  
[[Tempering out]] this comma in the 11-limit defines the rank-4 '''spoob''' temperament, or in the 2.5.7.11 subgroup an unnamed rank-3 [[retraction]] thereof.  


=== Spoob ===
See [[6th-octave temperaments#Spoob]] for technical data.
[[Subgroup]]: 2.3.5.7.11
 
[[Comma list]]: 27682574402/27680640625
 
{{mapping|legend=1| 6 0 0 0 1 | 0 1 0 0 0 | 0 0 1 0 -1 | 0 0 0 1 2 }}
: mapping generators: ~55/49, ~3, ~5, ~7
 
{{Optimal ET sequence|legend=1| 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 6390, 6660, 7002, 7626, 7896, 8238, 8850, 9744, 9816, 10086, 10428, 11664, 11934, 12276, 36216, 48492, 60768, 84978, 97254, 98832d }}
 
[[Badness]] (Sintel): 3.91
 
=== Spoob retraction ===
[[Subgroup]]: 2.5.7.11
 
[[Comma list]]: 27682574402/27680640625
 
{{Mapping|legend=2| 6 0 0 1 | 0 1 0 -1 | 0 0 1 2 }}
: mapping generators: ~55/49, ~5, ~7
 
{{Optimal ET sequence|legend=1| 72, 150, 186, 192, 198, 264, 270, 342, 348, 612, 618, 960, 1578, 7542, 8160, 9120, 10698, 12276, 13854, 23592, 25170, 26748, 28326, 40602, 42180, 67350, 68928 }}
 
[[Badness]] (Sintel): 0.165


[[Category:Commas named for other reasons]]
[[Category:Commas named for other reasons]]
[[Category:Commas with intentionally absurd names]]
[[Category:Commas with intentionally absurd names]]

Latest revision as of 23:27, 5 September 2026

Interval information
Ratio 27682574402/27680640625
Factorization 2 × 5-6 × 712 × 11-6
Monzo [1 0 -6 12 -6⟩
Size in cents 0.1209403 ¢
Name spoob
Color name 1u6z12g68, tribiluzozogu octave
FJS name [math]\displaystyle{ \text{6d8}^{7,7,7,7,7,7,7,7,7,7,7,7}_{5,5,5,5,5,5,11,11,11,11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 69.3764
Weil norm (log2 max(n, d)) 69.3765
Wilson norm (sopfr(nd)) 182
Comma size unnoticeable
Open this interval in xen-calc

The spoob (monzo: [1 0 -6 12 -6⟩, ratio: 27 682 574 402 / 27 680 640 625), is an unnoticeable 11-limit comma measuring about 0.121 cents. It separates a stack of six 55/49's from the octave. It was named after an emoji on Xenharmonic Discord.

Temperaments

Tempering out this comma in the 11-limit defines the rank-4 spoob temperament, or in the 2.5.7.11 subgroup an unnamed rank-3 retraction thereof.

See 6th-octave temperaments#Spoob for technical data.

Retrieved from "https://en.xen.wiki/index.php?title=Spoob&oldid=236765"